Q: What are the factor combinations of the number 402,025,211?

 A:
Positive:   1 x 4020252117 x 5743217323 x 17479357161 x 2497051911 x 4413012741 x 1466716377 x 6304319187 x 20953
Negative: -1 x -402025211-7 x -57432173-23 x -17479357-161 x -2497051-911 x -441301-2741 x -146671-6377 x -63043-19187 x -20953


How do I find the factor combinations of the number 402,025,211?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 402,025,211, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 402,025,211
-1 -402,025,211

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 402,025,211.

Example:
1 x 402,025,211 = 402,025,211
and
-1 x -402,025,211 = 402,025,211
Notice both answers equal 402,025,211

With that explanation out of the way, let's continue. Next, we take the number 402,025,211 and divide it by 2:

402,025,211 ÷ 2 = 201,012,605.5

If the quotient is a whole number, then 2 and 201,012,605.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 402,025,211
-1 -402,025,211

Now, we try dividing 402,025,211 by 3:

402,025,211 ÷ 3 = 134,008,403.6667

If the quotient is a whole number, then 3 and 134,008,403.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 402,025,211
-1 -402,025,211

Let's try dividing by 4:

402,025,211 ÷ 4 = 100,506,302.75

If the quotient is a whole number, then 4 and 100,506,302.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 402,025,211
-1 402,025,211
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

17231619112,7416,37719,18720,95363,043146,671441,3012,497,05117,479,35757,432,173402,025,211
-1-7-23-161-911-2,741-6,377-19,187-20,953-63,043-146,671-441,301-2,497,051-17,479,357-57,432,173-402,025,211

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